Pith Number

pith:ANA6NY7H

pith:2010:ANA6NY7HROH7SHSGBFTYKA5ZST

not attested not anchored not stored refs pending

Mixing Time for the Solid-on-Solid Model

Alistair Sinclair, Fabio Martinelli

arxiv:1008.0125 v1 · 2010-07-31 · math-ph · cs.DS · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ANA6NY7HROH7SHSGBFTYKA5ZST}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:42:44.003376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0341e6e3e78b8ff91e4609678503b994e4672ef8f8250afb8f75590d9498d79f

Aliases

arxiv: 1008.0125 · arxiv_version: 1008.0125v1 · doi: 10.48550/arxiv.1008.0125 · pith_short_12: ANA6NY7HROH7 · pith_short_16: ANA6NY7HROH7SHSG · pith_short_8: ANA6NY7H

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ANA6NY7HROH7SHSGBFTYKA5ZST \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0341e6e3e78b8ff91e4609678503b994e4672ef8f8250afb8f75590d9498d79f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4de760a304ec4d731636350432f96e513824ab8dc4b2f90b66d0439408a5f823",
    "cross_cats_sorted": [
      "cs.DS",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-07-31T21:46:11Z",
    "title_canon_sha256": "208ebe8a1c488d9856d4e1740eba92d60161fcf0dcc397b7421c50a3a3cf5b3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0125",
    "kind": "arxiv",
    "version": 1
  }
}